1/2(x-1)-(x-3)=1/3(3x+3)+1/6

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Solution for 1/2(x-1)-(x-3)=1/3(3x+3)+1/6 equation:


1/2 (x-1)-(x-3)=1/3 (3x+3)+1/6

We simplify the equation to the form, which is simple to understand 
1/2(x-1)-(x-3)=1/3(3x+3)+1/6

Reorder the terms in parentheses
+( + 0.5x-0.5)-(x-3)=0.33333333333333*(3x+3) + 0.16666666666667

Remove unnecessary parentheses
 + 0.5x-0.5-(+x-3+)=0.33333333333333+*(+3x+3+) + 0.16666666666667

Remove unnecessary parentheses
 + 0.5x-0.5-1x+3=0.33333333333333*(3x+3) + 0.16666666666667

Reorder the terms in parentheses
 + 0.5x-0.5-1x+3=+(+1x+1) + 0.16666666666667

Remove unnecessary parentheses
 + 0.5x-0.5-1x+3=+1x+1 + 0.16666666666667

We move all terms containing x to the left and all other terms to the right. 
 + 0.5x-1x-1x=+1 + 0.16666666666667 + 0.5-3

We simplify left and right side of the equation. 
-1.5x=-1.3333333333333

We divide both sides of the equation by -1.5 to get x. 
x=0.88888888888889

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